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On my ping-pong team there are four times as many right-handed boys as left-handed boys. Of the students on the team who are left-handed, there are twice as many girls as there are boys. Half of the girls who are on the team are left-handed. If there are 36 people on the team, how many are right-handed boys?

 Apr 29, 2018
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Let the number of left-handed boys be . Since there are four times as many right-handed boys, the number of right-handed boys is . Since there are twice as many left-handed girls as left-handed boys, and there are  left-handed boys, there are  left-handed girls. We place all of this in a Venn diagram:

We also know that half the girls on the team are left-handed. Since there are  left-handed girls, there are also  right-handed girls.

There are a total of 

36=2x+x+4x+2x=9x

people on the team, so x=4. We are trying to find the number of right-handed boys. This number is

4x=4*4=16

 Jul 14, 2018

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